Prealgebra

 The Rockswold/Krieger algebra series fosters conceptual understanding by using relevant applications and visualization to show students why math matters. It answers the common question “When will I ever use this?” Rockswold teaches the math in context, rather than simply including the applications at the end of the presentation. By seamlessly integrating meaningful applications that include real data and supporting visuals (graphs, tables, charts, colors, and diagrams), students are able to see how math impacts their lives as they learn the concepts. This approach deepens conceptual understanding and better prepares students for future math courses and life.

1. Whole Numbers

1.1 Introduction to Whole Numbers

1.2 Adding and Subtracting Whole Numbers; Perimeter

1.3 Multiplying and Dividing Whole Numbers; Area

1.4 Exponents, Variables, and Algebraic Expressions

1.5 Rounding and Estimating; Square Roots

1.6 Order of Operations

1.7 More with Equations and Problem Solving

Summary - Review Exercises - Test

2. Integers

2.1 Integers and the Number Line

2.2 Adding Integers

2.3 Subtracting Integers

2.4 Multiplying and Dividing Integers

2.5 Order of Operations; Averages

2.6 Solving Equations with Integer Solutions

Summary - Review Exercises - Test

Chapters 1-2 Cumulative Review

3. Algebraic Expressions And Linear Equations

3.1 Simplifying Algebraic Expressions

3.2 Translating Words to Equations

3.3 Properties of Equality

3.4 Solving Linear Equations

3.5 Applications and Problem Solving

Summary - Review Exercises - Test

Chapters 1-3 Cumulative Review

4. Fractions

4.1 Introduction to Fractions and Mixed Numbers

4.2 Prime Factorization and Lowest Terms

4.3 Multiplying and Dividing Fractions

4.4 Adding and Subtracting Fractions-Like Denominators

4.5 Adding and Subtracting Fractions-Unlike Denominators

4.6 Operations on Mixed Numbers

4.7 Complex Fractions and Order of Operations

4.8 Solving Equations Involving Fractions

Summary - Review Exercises - Test

Chapters 1-4 Cumulative Review

5. Decimals

5.1 Introduction to Decimals

5.2 Adding and Subtracting Decimals

5.3 Multiplying and Dividing Decimals

5.4 Real Numbers, Square Roots, and Order of Operations

5.5 Solving Equations Involving Decimals

5.6 Applications from Geometry and Statistics

Summary - Review Exercises - Test

Chapters 1-5 Cumulative Review

6. Ratios, Proportions, And Measurement

6.1 Ratios and Rates

6.2 Proportions and Similar Figures

6.3 The American System of Measurement

6.4 The Metric System of Measurement

6.5 American-Metric Conversions; Temperature

6.6 Time and Speed

Summary - Review Exercises - Test

Chapters 1-6 Cumulative Review

7. Percents

7.1 Introductions to Percents; Circle Graphs

7.2 Using Equations to Solve Percent Problems

7.3 Using Proportions to Solve Percent Problems

7.4 Applications Sales Tax, Discounts, and Net Pay

7.5 Applications Simple and Compound Interest

7.6 Probability and Percent Chance

Summary - Review Exercises - Test

Chapters 1-7 Cumulative Review

8. Exponents And Polynomials

8.1 Rules for Exponents

8.2 Negative Exponents and Scientific Notation

8.3 Adding and Subtracting Polynomials

8.4 Multiplying and Factoring Polynomials

Summary - Review Exercises - Test

Chapters 1-8 Cumulative Review

9. Introduction To Graphing

9.1 The Rectangular Coordinate System

9.2 Graphing Linear Equations in Two Variables

9.3 Graphical Solutions to Linear Equations

9.4 Solving Applications Using Graphs

Summary - Review Exercises - Test

Chapters 1-9 Cumulative Review

10. Geometry

10.1 Plane Geometry; Points, Lines and Angles

10.2 Triangles

10.3 Polygons and Circles

10.4 Perimeter and Circumference

10.5 Area, Volume, and Surface Area

Summary - Review Exercises - Test

Chapters 1-10 Cumulative Review

Appendix Using the Graphing Calculator

Answers to Selected Exercises

Glossary

Photo Credits